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242200133 = 7591394219
BaseRepresentation
bin11100110111110…
…10111001000101
3121212202001010022
432123322321011
5444000401013
640011104525
76000444560
oct1633727105
9555661108
10242200133
111147965aa
1269142145
133b2413b6
14242494d7
15163e3008
hexe6fae45

242200133 has 16 divisors (see below), whose sum is σ = 283584000. Its totient is φ = 202565232.

The previous prime is 242200111. The next prime is 242200151. The reversal of 242200133 is 331002242.

It is a cyclic number.

It is not a de Polignac number, because 242200133 - 26 = 242200069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242200433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55298 + ... + 59516.

It is an arithmetic number, because the mean of its divisors is an integer number (17724000).

Almost surely, 2242200133 is an apocalyptic number.

It is an amenable number.

242200133 is a deficient number, since it is larger than the sum of its proper divisors (41383867).

242200133 is a wasteful number, since it uses less digits than its factorization.

242200133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4424.

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 242200133 is about 15562.7803749844. The cubic root of 242200133 is about 623.3397068816.

Adding to 242200133 its reverse (331002242), we get a palindrome (573202375).

The spelling of 242200133 in words is "two hundred forty-two million, two hundred thousand, one hundred thirty-three".

Divisors: 1 7 59 139 413 973 4219 8201 29533 57407 248921 586441 1742447 4105087 34600019 242200133